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Finding the Third Proportional to 12,620.75 and 19,539.75

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Solution

The third proportional to 12,620.75 and 19,539.75 is: 30,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.75 : 19,539.75 = 19,539.75 : x
  2. Step 2: Convert to fraction form
    12,620.75/19,539.75 = 19,539.75/x
  3. Step 3: Cross multiply
    12,620.75x = 19,539.75 × 19,539.75
  4. Step 4: Simplify right side
    12,620.75x = 381,801,830.06
  5. Step 5: Solve for x
    x = 381,801,830.06/12,620.75
  6. Step 6: Final answer
    x = 30,251.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.